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On a question of Hua Loo-Keng

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Literature cited

  1. H. L. Montgomery and R. C. Vaughan, “The exceptional set in Goldbach's problem,” Acta Arith.,27, 353–370 (1975).

    Google Scholar 

  2. Hua Loo-keng, “Some results in the additive prime number theory,” Q. J. Math.,9, 68–80 (1938).

    Google Scholar 

  3. I. M. Vinogradov, The Method of Trigonometric Sums in Number Theory [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  4. Yu. V. Linnik, Selected Works. Number Theory. The Ergodic Method and L-Functions [in Russian], Nauka, Leningrad (1979).

    Google Scholar 

  5. H. Davenport and H. Heilbronn, “Note on a result in the additive theory of numbers,” Proc. London Math. Soc., Ser. 2,43, 142–151 (1937).

    Google Scholar 

  6. Y. Motohashi, “Primes in arithmetic progressions,” Invent. Math.,44, 163–178 (1978).

    Google Scholar 

  7. Abstracts of Reports of the All-Union Conference “Number Theory and Its Applications,” Tbilisi University, Tbilisi (1985).

  8. A. I. Vinogradov, “On a binary problem of Hardy—Littlewood,” Acta Arith.,46, 33–56 (1985).

    Google Scholar 

  9. I. M. Vinogradov, Elements of Number Theory [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  10. V. A. Plaksin, “An asymptotic formula for the number of representations of a natural number by a pair of quadratic forms, the arguments of one being primes,” Izv. Akad. Nauk SSSR, Ser. Mat.,48, No. 6, 1245–1265 (1984).

    Google Scholar 

  11. A. A. Karatsuba, Elements of Analytic Number Theory [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  12. R. C. Vaughan, “A ternary additive problem,” Proc. London Math. Soc.,41, 516–532 (1980).

    Google Scholar 

  13. H. Davenport, Multiplicative Number Theory [Russian translation], Nauka, Moscow (1971).

    Google Scholar 

  14. P. X. Gallagher, “A large sieve density estimate near σ=1,” Invent. Math.,11, 329–353 (1970).

    Google Scholar 

  15. A. O. Gel'fond and Yu. V. Linnik, Elementary Methods in Analytic Number Theory [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

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Authors and Affiliations

  1. O. V. Kuusinen Petrozavodsk State University, USSR

    V. A. Plaksin

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  1. V. A. Plaksin
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Translated from Matematichskie Zametki, Vol. 47, No. 3, pp. 78–90, March, 1990.

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Plaksin, V.A. On a question of Hua Loo-Keng. Mathematical Notes of the Academy of Sciences of the USSR 47, 278–286 (1990). https://doi.org/10.1007/BF01138509

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